In a mixture of chemical compounds, the significant variable is often the proportion of molecules, normally expressed as a mole fraction or mass fraction in a particular sample. The fractions are constrained to add to one, so any change such as the addition of some more of any chemical component causes all of the mole fractions change in a nonlinear way. Joan Lasenby has applied Clifford Algebra to the problem of projection and shown that problems can be made linear and results obtained. In this paper a similar approach is used to show that some nonlinear problems, such as conversion between molar and mass basis, become linear when projected into a space of increased dimension. When this is done using the V product defined by Miralles et al this can be done using a Clifford algebra with all positive signature. Examples are given of the results of calculations.

J.P.Fletcher@aston.ac.uk